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Mathematics 14 Online
OpenStudy (anonymous):

What is the simplest form of the expression ?

OpenStudy (anonymous):

\[3\sqrt{128a ^{13}b ^{6}}\]

OpenStudy (anonymous):

that's a^13 and b^6

OpenStudy (the_fizicx99):

Bit different from last time, if it isn't \(\ \sqrt[3]{128a^13b^6}\) then it's a square root √128 gives me a decimal. So I'm going out on a limb and going to assume you made a typo? Unless you're suppose to take a portion of it, like √24, √24 = 2√6 because 4 * 6 = 24, √4 = 2. It'll still be the same when you multiply it out again.

OpenStudy (anonymous):

Yes it's the little 3

OpenStudy (the_fizicx99):

It's quite easy actually. Is it \(\ \sf \sqrt[3]{128a^13b^6} \) or 3√(128a^13b^6) ?

OpenStudy (anonymous):

The first one

OpenStudy (the_fizicx99):

k, \(\ \sf 128^{1/3} = 4\sqrt[3]{2} \) Now because of the "13^1/3" I'd just leave it as \(\ \sf 4\sqrt[3]{2} \times \sqrt[3]{a^{13}b^6}\) The idea is still the same if you want to simplify it.

OpenStudy (the_fizicx99):

4^3 = 64, 64 * 2 = 128 but 2^1/3 doesn't fit in, you would get a nasty decimal. So just keep it as \(\ \sf 4\times\sqrt[3]{2} \)

OpenStudy (anonymous):

Hmm.. lemme see if i can show you the choices

OpenStudy (the_fizicx99):

k

OpenStudy (the_fizicx99):

Brb

OpenStudy (anonymous):

B. \[4a ^{4}b \sqrt[3]{a4a ^{4}b \sqrt[3]{a2a ^{4}b ^{2}\sqrt[3]{4a}}}\]

OpenStudy (anonymous):

C. \[4a ^{4}b ^{2}\sqrt[3]{2a}\]

OpenStudy (anonymous):

D. \[4a ^{4}b \sqrt[3]{a}\]

OpenStudy (anonymous):

A was wrong it says none of these

OpenStudy (the_fizicx99):

From just looking at these I would say it's "None of these"

OpenStudy (anonymous):

lol but it's wrong

OpenStudy (the_fizicx99):

Are you sure you posted these options correctly?

OpenStudy (anonymous):

Yes I did

OpenStudy (anonymous):

Yeah she right A is wrong ^^

OpenStudy (the_fizicx99):

Omg X_____X I mixed them up... it was a^13 and b^6...

OpenStudy (the_fizicx99):

Yeah. I got C, hopefully my calculations were correct cx

OpenStudy (anonymous):

Yes it is

OpenStudy (anonymous):

Ok i trust you so i'll go w/ C.

OpenStudy (the_fizicx99):

kk :3

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